13-Al 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 13000.0000 26.7498000 -1 0 0 31300 1451 0.0 0.0 0 0 0 61300 1451 0.0 1.0000E+11 0 0 3 61300 1451 0.0 0.0 1 0 158 191300 1451 13-Al- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 1300 1451 NDS-IAEA-225 Dist-Jan25 1300 1451 ---- ENDF/B-VI MATERIAL 1300 1300 1451 ----- PHOTO-ATOMIC INTERACTION DATA 1300 1451 ------ ENDF/B-6 1300 1451 =================================================================1300 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 1300 1451 ENDF-6 Format. 1300 1451 =================================================================1300 1451 Contents 1300 1451 =================================================================1300 1451 MF/MT Description 1300 1451 =================================================================1300 1451 23/501 Total cross sections 1300 1451 23/502 Coherent scattering cross sections 1300 1451 23/504 Incoherent scattering cross sections 1300 1451 23/515 Pair production cross sections, Electron field 1300 1451 23/516 Pair production cross sections, Total 1300 1451 23/517 Pair production cross sections, Nuclear field 1300 1451 23/522 Total photoionization cross section 1300 1451 23/534 K (1S1/2) Photoionization subshell cross section 1300 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 1300 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 1300 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 1300 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 1300 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 1300 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 1300 1451 =================================================================1300 1451 27/502 Coherent scattering form factors 1300 1451 27/504 Incoherent scattering functions 1300 1451 27/505 Imaginary anomalous scattering factor 1300 1451 27/506 Real anomalous scattering factor 1300 1451 =================================================================1300 1451 Warning 1300 1451 =================================================================1300 1451 MF/MT combinations used to define photoionization subshell cross1300 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 1300 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 1300 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 1300 1451 If you are not prepared to use this data you need merely delete 1300 1451 it and all of the remaining data will still be consistent and 1300 1451 equivalent to the types of data in earlier versions of ENDF/B. 1300 1451 However, this will limit the range of problems to which this 1300 1451 data can be applied (see: ref. 1 for details). 1300 1451 =================================================================1300 1451 Definition of new types of data 1300 1451 =================================================================1300 1451 1) The total photoionization cross section is equal to the sum 1300 1451 of the photoionization subshell cross sections. 1300 1451 1300 1451 For each subshell on the second line of a section the C1 and 1300 1451 C2 fields are defined as, 1300 1451 1300 1451 EPE = The photoionization edge energy (similar to Q-value) 1300 1451 EFL = The fluorescence yield (eV/photoionization) 1300 1451 1300 1451 2) The angular distribution of coherently scattered photons is, 1300 1451 1300 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1300 1451 1300 1451 S(E,MU) = Angular distributions (barns per unit cosine) 1300 1451 T = The Thomson cross section 1300 1451 MU = The cosine of the scattering angle 1300 1451 FF(M) = The atomic form factor 1300 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 1300 1451 F1(E) = The real anomalous scattering factor 1300 1451 F2(E) = The imaginary anomalous scattering factor 1300 1451 1300 1451 F1(E) and F2(E) are isotropic. 1300 1451 1300 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 1300 1451 using only form factors (the older ENDF/B convention). 1300 1451 =================================================================1300 1451 Differences between EPDL97 and the data base presented here 1300 1451 =================================================================1300 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 1300 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 1300 1451 2) Type of Data - EPDL97 - Photon interaction including 1300 1451 photoexcitation 1300 1451 Here - Photon interaction - ENDF/B-VI has 1300 1451 no provision for photoexcitation 1300 1451 3) Secondary E - EPDL97 - Average energy of each secondary 1300 1451 (photons, electrons, positrons) 1300 1451 HERE - No secondary energy data 1300 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 1300 1451 interpolable - the total cross 1300 1451 section is not included 1300 1451 - Form factors and scattering functions 1300 1451 are Log X vs. Log y, except first 1300 1451 interval. 1300 1451 - Anomalous scattering factors linearly 1300 1451 interpolable (they can be negative) 1300 1451 Here - Up through ENDF/B-V photon interaction1300 1451 cross sections were Log X vs. Log Y. 1300 1451 - For the first two Mods. of ENDF/B-VI 1300 1451 in order to consistently define the 1300 1451 total cross sections at ALL energies 1300 1451 all cross sections were linearized. 1300 1451 This was NOT a good idea. 1300 1451 - Starting with Mod. 3, cross sections 1300 1451 are left in Log X vs. Log. Y form so 1300 1451 that they are IDENTICAL to what's in 1300 1451 EPDL97. 1300 1451 The total is defined ONLY at the 1300 1451 energies tabulated in any other cross 1300 1451 section. 1300 1451 WARNING - As a result the total cross section 1300 1451 MUST NOT be interpolated to define the1300 1451 total between tabulated energies. The 1300 1451 ONLY consist way to define the total 1300 1451 between tabulated energies is to 1300 1451 interpolate all of the partials and 1300 1451 add them up. 1300 1451 =================================================================1300 1451 References 1300 1451 =================================================================1300 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 1300 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 1300 1451 graphs of photon interaction cross sections from 10 eV to 100 1300 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 1300 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 1300 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 1300 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 1300 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 1300 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 1300 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 1300 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 1300 1451 IAEA, Vienna, Austria 1300 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 1300 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 1300 1451 IAEA, Vienna, Austria 1300 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 1300 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 1300 1451 IAEA, Vienna, Austria. 1300 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 1300 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 1300 1451 IAEA, Vienna, Austria. 1300 1451 1300 1451 These are the primary references to the contents of this library1300 1451 and they contain a complete list of references to the sources 1300 1451 of data used in this library, methods of evaluation, accuracy 1300 1451 of the data, etc. 1300 1451 =================================================================1300 1451 History 1300 1451 =================================================================1300 1451 1) Oct. 1989 - Initial Release 1300 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 1300 1451 3) July 1997 - Complete re-evaluation 1300 1451 4) Sept.2014 - Updated based on recently published data. 1300 1451 - Insured Standard C, C++, FORTRAN format 1300 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 1300 1451 - New Photoelectric and Coherent Cross Sections 1300 1451 - New Anomalous Scattering Factors (see, ref. 4) 1300 1451 - ALL Cross Sections Lin-Lin Interpolable 1300 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.1300 1451 =================================================================1300 1451 ***************** Program FIXUP (Version 2023-2) ****************1300 1451 **************** Program DICTIN (VERSION 2023-1) ****************1300 1451 1 451 181 31300 1451 23 501 2231 31300 1451 23 502 141 31300 1451 23 504 135 31300 1451 23 515 74 31300 1451 23 516 154 31300 1451 23 517 102 31300 1451 23 522 1845 31300 1451 23 534 208 31300 1451 23 535 233 31300 1451 23 536 285 31300 1451 23 537 285 31300 1451 23 538 331 31300 1451 23 539 311 31300 1451 23 540 312 31300 1451 27 502 406 31300 1451 27 504 152 31300 1451 27 505 128 31300 1451 27 506 128 31300 1451 1300 1 0 1300 0 0 13000.0000 26.7498000 0 0 0 0130023501 0.0 0.0 0 0 1 6682130023501 6682 2 130023501 1.00000000 2.69080E-5 1.05924839 4.02771E-5 1.10597719 5.08254E-5130023501 1.14237171 5.90435E-5 1.19922131 7.18849E-5 1.25890000 8.53714E-5130023501 1.33350268 1.02239E-4 1.39234189 1.15549E-4 1.43816887 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7352.80161 2837.62745130023522 7409.76094 2776.09275 7413.10200 2772.48332 7430.81379 2753.35302130023522 7437.14487 2746.54368 7477.38920 2703.28505 7493.54774 2685.91632130023522 7496.40680 2682.84397 7511.49578 2666.62938 7534.02863 2642.42313130023522 7552.75607 2623.86588 7610.37823 2566.79742 7621.26877 2556.01157130023522 7628.27900 2549.10157 7646.74391 2530.90068 7655.38919 2522.38190130023522 7673.61500 2504.43056 7678.39497 2499.72379 7728.68247 2453.11870130023522 7746.33657 2436.75741 7762.47100 2421.81275 7767.30666 2417.33368130023522 7783.35752 2402.51876 7788.48225 2397.79002 7833.70630 2358.67869130023522 7841.06409 2352.31543 7846.70799 2347.43596 7878.66859 2319.80427130023522 7904.89507 2297.21564 7908.10209 2294.45416 7926.77221 2278.38761130023522 7956.57962 2252.73698 7990.57673 2225.67114 8007.12399 2212.50122130023522 8012.79622 2207.98671 8031.63929 2192.99295 8048.71229 2179.41389130023522 8092.30588 2144.90019 8108.41723 2132.14464 8123.73706 2120.01900130023522 8125.55701 2118.57885 8128.30500 2116.40532 8150.17592 2100.27479130023522 8218.72074 2049.72080 8222.42600 2046.98806 8242.07143 2032.55337130023522 8268.49675 2013.14290 8277.44129 2006.57641 8278.50794 2005.79334130023522 8314.82617 1979.13886 8320.57333 1974.92095 8390.42760 1927.62865130023522 8401.85102 1919.89485 8408.41341 1915.47179 8413.95100 1911.74028130023522 8453.31936 1885.22197 8461.09555 1879.98574 8490.55504 1860.14874130023522 8492.53520 1858.81537 8505.25777 1850.83227 8507.17851 1849.62766130023522 8562.05678 1815.21863 8609.93800 1785.31397 8615.30095 1781.96450130023522 8645.91469 1762.84928 8657.50557 1756.04530 8668.66177 1749.49837130023522 8679.13704 1743.35104 8703.37153 1729.13791 8704.74072 1728.33491130023522 8738.82083 1708.41596 8782.39240 1682.95638 8804.68941 1670.61319130023522 8810.48900 1667.40266 8831.53835 1655.75247 8834.19493 1654.28851130023522 8881.30089 1628.34337 8903.57647 1616.07442 8908.10911 1613.74493130023522 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